A Novel 5D Chaotic System with Extreme Multi-stability and a Line of Equilibrium and Its Engineering Applications: Circuit Design and FPGA Implementation

Extreme multi-stability is a newly introduced property observed in nonlinear dynamical systems. Such systems have very rich dynamical solutions depending on both parameters and initial conditions. On the other hand, designing dynamical systems with special features related to their equilibria is of great interest. In this paper, a novel chaotic system with extreme multi-stability and a line of equilibrium is presented. Such systems are so infrequent. It also should be noted that this designed chaotic system belongs to the category of dynamical systems with hidden attractors. Complete dynamical properties of this new system are investigated. Also, by the assistance of FPGA and electronic circuit implementation, this system is implemented.